There are a several construction of MR LRCs since their introduction [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}. The current best constructions of MR-LRCs over most range of parameters is due to [11]}, [12]} which require a field size of
\(\left(O\bigl (\max \lbrace n/r,r\rbrace \bigr )\right)^{\min \lbrace h,r-a\rbrace }.\) 
